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Finding the Fourth Proportional to 1,993.66, 3,005.43 and 1,859.86

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Solution

The fourth proportional to 1,993.66, 3,005.43 and 1,859.86 is: 2,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.66 : 3,005.43 = 1,859.86 : x
  2. Step 2: Convert to fraction form
    1,993.66/3,005.43 = 1,859.86/x
  3. Step 3: Cross multiply
    1,993.66x = 3,005.43 × 1,859.86
  4. Step 4: Simplify right side
    1,993.66x = 5,589,679.04
  5. Step 5: Solve for x
    x = 5,589,679.04/1,993.66
  6. Step 6: Final answer
    x = 2,803.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.